An item is being lifted by an elevator at a constant speed to a height of 10 feet. The item does not move for five seconds then catapults off the 10-foot platform and back to the ground. Compare the height of the item to the time passed in seconds. Determine the correct types of functions that describes the scenario in the correct order.(1 point)

Question

Responses

A.Linear Function, Constant Function, Quadratic Function
Linear Function, Constant Function, Quadratic Function

B.Linear Function, Constant Function, Linear Function
Linear Function, Constant Function, Linear Function

C.Constant Function, Quadratic Function, Linear Function
Constant Function, Quadratic Function, Linear Function

D. Quadratic Function, Constant Function, Linear Function

Answer 1

To analyze the scenario:

1. During the lifting of the item: The elevator lifts the item at a constant speed to a height of 10 feet. This phase can be described as a linear function, as the height increases steadily over time until it reaches 10 feet.

2. While the item remains at a height of 10 feet: For the five seconds that the item does not move, it remains at a constant height. This can be described as a constant function, as the height does not change during that time.

3. When the item catapults off the platform: The motion of the item as it falls back to the ground describes a parabolic path due to the effects of gravity. This can be described as a quadratic function.

Putting this together, the sequence of functions describing the scenario is:

• Linear Function (while being lifted)
• Constant Function (while stationary)
• Quadratic Function (while falling).

Thus, the correct response is:

A. Linear Function, Constant Function, Quadratic Function.